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Finding the Fourth Proportional to 18,062, 27,098.40 and 7,674.56

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Solution

The fourth proportional to 18,062, 27,098.40 and 7,674.56 is: 11,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,062 : 27,098.40 = 7,674.56 : x
  2. Step 2: Convert to fraction form
    18,062/27,098.40 = 7,674.56/x
  3. Step 3: Cross multiply
    18,062x = 27,098.40 × 7,674.56
  4. Step 4: Simplify right side
    18,062x = 207,968,296.70
  5. Step 5: Solve for x
    x = 207,968,296.70/18,062
  6. Step 6: Final answer
    x = 11,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.